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Finding the Fourth Proportional to 1,161.34, 1,738.97 and 672.30

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Solution

The fourth proportional to 1,161.34, 1,738.97 and 672.30 is: 1,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,738.97 = 672.30 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,738.97 = 672.30/x
  3. Step 3: Cross multiply
    1,161.34x = 1,738.97 × 672.30
  4. Step 4: Simplify right side
    1,161.34x = 1,169,108.69
  5. Step 5: Solve for x
    x = 1,169,108.69/1,161.34
  6. Step 6: Final answer
    x = 1,006.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.